The number 29744
29744 is a composite number with 30 divisors. Its prime factorisation is × 11 × . Divisors (30): 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 169, 176 … 29744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29744: a Harshad number: divisible by its digit sum 26.
- 2
29744 is composite. Its prime factorisation is
- 3
The divisors add up to 68076; without 29744 itself that is 38332, so 29744 is abundant (38332 is more than 29744). Euler's totient φ(29744) = 12480 numbers up to 29744 share no factor with it.
- 4
The digits of 29744 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29744 = 2^{4} \times 11 \times 13^{2} \]29744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 68076 |
| Euler totient φ(n) | 12480 |
| Square | 884705536 |
| Cube | 26314681462784 |
| Square root | 172.464489 (= 52√11) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9744 × |
29744 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty-four |
| Binary (base 2) | 111010000110000 |
| Octal (base 8) | 72060 |
| Hexadecimal (base 16) | 7430 |
| Base 3 | 1111210122 |
| As time | 29744 seconds = 8 h 15 min 44 s |
Is 29744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29744 ÷ 2 = 14872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29744 ÷ 4 = 7436) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (29744 ÷ 8 = 3718) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29744 ÷ 11 = 2704) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29744 a prime number?
No. 29744 = × 11 × , so it is divisible by 2.
What are the factors of 29744?
1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 169, 176, 208, 286, 338, 572, 676, 1144, 1352, 1859, 2288, 2704, 3718, 7436, 14872, 29744.
What is 29744 in binary?
111010000110000 (hexadecimal 7430, octal 72060).
What is the square root of 29744?
About 172.4645, exactly 52√11.
Is 29744 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29744?
29744 is a Harshad number: divisible by its digit sum 26.